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Finding the Fourth Proportional to 315,546.76, 435,458.10 and 172,308.52

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Solution

The fourth proportional to 315,546.76, 435,458.10 and 172,308.52 is: 237,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,546.76 : 435,458.10 = 172,308.52 : x
  2. Step 2: Convert to fraction form
    315,546.76/435,458.10 = 172,308.52/x
  3. Step 3: Cross multiply
    315,546.76x = 435,458.10 × 172,308.52
  4. Step 4: Simplify right side
    315,546.76x = 75,033,140,733.01
  5. Step 5: Solve for x
    x = 75,033,140,733.01/315,546.76
  6. Step 6: Final answer
    x = 237,787.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.